Dynamic Event-Triggered Model Reference Adaptive Control for Uncertain Switched Systems

This study focuses on the MRATC problem for uncertain switched systems using a dynamic event-triggered approach. Compared with the existing studies, the switching adaptive laws and switching adaptive tracking controller are dynamically event-triggered simultaneously for data transmission, leading to several challenges in achieving the tracking task and Zeno-free behavior. A multiple Lyapunov function method is established to design a switching event-triggered adaptive law and switching dynamic event-triggered adaptive tracking controller. The proposed dynamic ETM guarantees that the interexecution time between two consecutive triggered points has a positive lower bound. The state-dependent switching signal and switching dynamic event-triggered adaptive tracking controller are designed such that all the signals of the error dynamic system are bounded, and the system state asymptotically tracks the desired reference model state. Finally, an example of an electro-hydraulic system illustrates the availability of the established strategy.